Article ID Journal Published Year Pages File Type
4631182 Applied Mathematics and Computation 2011 7 Pages PDF
Abstract

Travelling wave solutions for the general modified CH–DP equation ut − uxxt + αu2ux − βuxuxx = uuxxx are developed. By using the dynamical system method, a peakon and a dark soliton are found to coexist for the same wave speed. Exact explicit blow-up solutions are given. By using numerical simulation, a loop solution for a special case is discussed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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